Small sphenofrustary trishecatonicosachoron

Small sphenofrustary trishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Swifthi
Elements
Cells	120 gaddid, 120 sidditdid, 120 idtid
Faces	2400 triangles, 1440 pentagrams, 1200 hexagons, 1440 decagons, 1440 decagrams
Edges	7200+7200
Vertices	3600
Measures (edge length 1)
Circumradius	${\sqrt {5}}\approx 2.23607$
Related polytopes
Army	Semi-uniform Xhi
Regiment	Affixthi
Conjugate	Swirfthi
Abstract & topological properties
Euler characteristic	–3240
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The small sphenofrustary trishecatonicosachoron, or swifthi, is a nonconvex uniform polychoron that consists of 120 great dodecicosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, and 120 icosidodecatruncated icosidodecahedra. Two great dodecicosidodecahedra, two small ditrigonal dodecicosidodecahedra, and four icosidodecatruncated icosidodecahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the antifrustary hexacositrishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 16: Affixthi Regiment" (#708).